Name ___________________________________________Classify Angles in Triangles and Quadrilaterals
Answers
1.
Stephanie’s garden is shaped like a parallelogram. It is divided into 2
triangular sections, as shown below.
If the measure of ∠STU is 72° and the measure of ∠SUT is 40°,
what is the measure in degrees of ∠TSU?
Record your answer and fill in the bubbles. Be sure to use the
correct place value.
2.
Look at the kite below. What is the measure of ∠Q?
A
70°
B
40°
C
55°
D
95°
1.
Look at grid
2.
3.
4.
5.
6.
7.
8.
_______
_______
_______
_______
_______
_______
_______
3.
4.
5.
Look at the polygon below. What type of angle is ∠Q?
A
Acute
B
Straight
C
Right
D
Obtuse
In the diagram below, the measure of ∠TUN is 60°, and measure of ∠TUS is 30°. What type of
angle is ∠NUS?
A
Right
B
Acute
C
Straight
D
Obtuse
Noah’s swimming pool is in the shape of a quadrilateral. The measures of 3 of its angles are 75°, 95°,
and 108°. What is the measure of the fourth angle?
A
278°
B
82°
C
98°
D
360°
6.
Laura drew the isosceles triangle pictured below.
X
Z
Y
If the measure of angle X is 30°, what is the measure of angle Z?
7.
A
30°
B
75°
C
150°
D
180°
Look at the parallelogram below. Which of the following could be the measures of the angles of the
parallelogram?
A. 110, 80, 110, 80
B. 90, 90, 75, 75
C. 120, 60, 120, 60
D. 100, 80, 90, 90
If ∠K in parallelogram JKLM measures 19º, which is the measure of ∠M?
8.
A
341°
B
71°
C
19°
D
161°
Missing Angle Partner Sheet
6.6A and 6.6B
1. Find the missing angle.
2. If a quadrilateral has two right angles and
the third angle is 122º, what is the measure of
the missing angle?
?
40°
3. Find the missing angle.
4. In a rhombus, the acute angles measure
56º each. What is the measure of each of the
obtuse angles?
?
110°
5. Find the missing angle.
6. In a parallelogram the obtuse angles each
measure 145º. What is the measure of each of
the acute angles?
40°
?
7. Find the missing angle.
8. What is the measurement of each angle in
an equilateral triangle?
?
9. Find the missing angle in this parallelogram. 10. Find the missing angle in a quadrilateral
when the other 3 angles are 65°, 78° and
106°.
60°
?
60°
11. Find the missing angle.
12. Find the missing angle in a triangle when
the other 2 angles are 87° and 38°.
50°
30°
?
ANSWER KEY
1. Find the missing angle.
Missing Angle Partner Sheet
2. If a quadrilateral has two right angles and
the third angle is 122º, what is the measure of
the missing angle?
?
50°
58°
40°
3. Find the missing angle.
70°
?
4. In a rhombus, the acute angles measure
56º each. What is the measure of each of the
obtuse angles?
124°
110°
5. Find the missing angle.
40°
70°
6. In a parallelogram the obtuse angles each
measure 145º. What is the measure of each of
the acute angles?
35°
?
7. Find the missing angle.
8. What is the measurement of each angle in
an equilateral triangle?
?
45°
60°
9. Find the missing angle in this parallelogram. 10. Find the missing angle in a quadrilateral
when the other 3 angles are 65°, 78° and
106°.
60°
?
120°
60°
11. Find the missing angle.
111°
12. Find the missing angle in a triangle when
the other 2 angles are 87° and 38°.
50°
100°
30°
?
55°
Objective 6 Problem Solving
1 The diagram below shows a swimming pool in
the shape of a rectangle with semi-circular ends.
3 Amy tosses two coins, a nickel and a penny.
Which proportion below can be used to find p,
the percent of times Amy can expect both coins
to land heads up? (6.12A)
18 ft
36 ft
Which equation below can be used to find A, the
approximate area of the pool? (6.11C)
A A
36 × 18
B A
(36 × 18) + (3 × 92 )
C A
(36 × 2) + (18 × 2)
D A
(36 × 18) + (3 × 182)
2 Jenny and Angela worked on homework every
day for 5 days. Each day the number of minutes
that Jenny worked on homework was 10 minutes
more than the number of minutes Angela worked.
Which piece of information can help you find the
total number of minutes Angela worked on
homework in 5 days? (6.11A)
A The number of minutes Angela worked on
homework in 1 day
A
=
B
=
C
=
D
=
4 Ms. Kelly is buying tickets for her music students
to attend the opera. She has collected $350 from
her students to pay for the tickets. The table
below shows the cost of various numbers of
tickets.
Number of Tickets
4
8
12
18
If Ms. Kelly has 18 students, how much more
money will she need to collect in order to buy
them each a ticket? ( 6.11B)
A $396
B The number of minutes Jenny worked on
homework each of the 5 days
C The number of problems each girl solved for
homework on each of the 5 days
B $86
C $46
D $132
D The grades each girl received on the homework
Cost (dollars)
88
176
264
5 Mindy wants to see a movie with her friend Treva.
The movie starts at 7:15, and they want to get to
the theater 20 minutes early to buy popcorn. It
will take Mindy 10 minutes to drive from her
house to Treva's house, and twice that long to
drive from Treva's house to the theater. What time
should Mindy leave her house? (6.11C)
A 6:35
B 6:45
C 6:15
D 6:25
Extension:
Is it possible to construct a triangle that has angle measurements of 60, 65 and 90 degrees?
Justify your answer.